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Finding the Third Proportional to 541,361,104.80 and 1,160,418,460.08

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Solution

The third proportional to 541,361,104.80 and 1,160,418,460.08 is: 2,487,380,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,361,104.80 : 1,160,418,460.08 = 1,160,418,460.08 : x
  2. Step 2: Convert to fraction form
    541,361,104.80/1,160,418,460.08 = 1,160,418,460.08/x
  3. Step 3: Cross multiply
    541,361,104.80x = 1,160,418,460.08 × 1,160,418,460.08
  4. Step 4: Simplify right side
    541,361,104.80x = 1,346,571,002,490,028,800
  5. Step 5: Solve for x
    x = 1,346,571,002,490,028,800/541,361,104.80
  6. Step 6: Final answer
    x = 2,487,380,401.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.